Are you reassigning the Test Set folder to a new cycle? You can recreate the Test Set folder (copy and paste) which then reset the execution status to No Run. And then assign to the new cycle.
I am not sure if QC has any settings which will enable you to refresh the Execution Settings on assigning a Cycle.
I am not sure if QC has any settings which will enable you to refresh the Execution Settings on assigning a Cycle.